221312301 has 32 divisors (see below), whose sum is σ = 346864896. Its totient is φ = 122880000.

The previous prime is 221312297. The next prime is 221312303. The reversal of 221312301 is 103213122.

It is not a de Polignac number, because 221312301 - 2² = 221312297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221312303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344941 + ... + 345581.

It is an arithmetic number, because the mean of its divisors is an integer number (10839528).

Almost surely, 2^221312301 is an apocalyptic number.

221312301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221312301 is a deficient number, since it is larger than the sum of its proper divisors (125552595).

221312301 is a wasteful number, since it uses less digits than its factorization.

221312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 221312301 is about 14876.5688584431. The cubic root of 221312301 is about 604.8790150354.

Adding to 221312301 its reverse (103213122), we get a palindrome (324525423).

The spelling of 221312301 in words is "two hundred twenty-one million, three hundred twelve thousand, three hundred one".